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BULK MODULUS AND WORK FUNCTION OF TITANIUM IN CONTEXT OF QUANTUM THEORY
Abstract
The authors used a modern quantum theory allowing to determine the energy levels of electrons in real metal. What's more, the presented model allows to define the electrons energy density and consequently use the Gibbs ensemble theory. In combination of quantum theory and Gibbs statistics, the authors obtained analytical equations for both the work function and the bulk modulus of metals. Based on the obtained equations, the work function and the bulk modulus for Ti and several other metals were calculated. It should be emphasized that all values obtained directly from the presented equations are in perfect conformity with the experimental data. A few percentage differences are comparable with the potential measurement error. Subsequently a simple mathematical model has been proposed which allows to calculate the work function and bulk modulus of titanium alloys depending on their percentage composition. The authors performed numerical calculations for the typical titanium alloys Ti-Al and Ti-Cu. The analytical results are additionally supplemented with relevant graphs.
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